Daily Practice

Higher Plus

7th April 1961

5 questions · 13 marks · Grades 8-9 · 51 question types in this band

1
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 1.5, one 5 units wide with density 0.6. How many values in total?
2
Surds3 marks
Rationalise the denominator of 110/sqrt(11), giving your answer in its simplest form.
3
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 17, 38, 69, 110. Work out the second difference, and the coefficient of n^2.
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 8 m/s to 13 m/s over 10 seconds. Work out the acceleration.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 5a - 2b and vector RS = 25a - 10b. What does this show about PQ and RS?

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